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42032501504 = 28791925523
BaseRepresentation
bin100111001001010101…
…010001001100000000
311000111022120022101222
4213021111101030000
51142040310022004
631150502214212
73015414240110
oct471125211400
9130438508358
1042032501504
111690a284554
128190724368
133c6b199386
14206a4c7040
1511601697be
hex9c9551300

42032501504 has 72 divisors (see below), whose sum is σ = 95994743040. Its totient is φ = 17993622528.

The previous prime is 42032501503. The next prime is 42032501507. The reversal of 42032501504 is 40510523024.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42032501501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1634087 + ... + 1659609.

It is an arithmetic number, because the mean of its divisors is an integer number (1333260320).

Almost surely, 242032501504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42032501504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47997371520).

42032501504 is an abundant number, since it is smaller than the sum of its proper divisors (53962241536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42032501504 is an equidigital number, since it uses as much as digits as its factorization.

42032501504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26465 (or 26451 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The spelling of 42032501504 in words is "forty-two billion, thirty-two million, five hundred one thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 896 919 1792 1838 3676 6433 7352 12866 14704 25523 25732 29408 51046 51464 58816 102092 102928 117632 178661 204184 205856 235264 357322 408368 411712 714644 816736 823424 1429288 1633472 1646848 2858576 3266944 5717152 6533888 11434304 22868608 23455637 45737216 46911274 93822548 164189459 187645096 328378918 375290192 656757836 750580384 1313515672 1501160768 2627031344 3002321536 5254062688 6004643072 10508125376 21016250752 42032501504